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http://dx.doi.org/10.7468/jksmeb.2013.20.4.251

TAYLOR SERIES OF FUNCTIONS WITH VALUES IN DUAL QUATERNION  

Kim, Ji Eun (Department of Mathematics, Pusan National University)
Lim, Su Jin (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)
Publication Information
The Pure and Applied Mathematics / v.20, no.4, 2013 , pp. 251-258 More about this Journal
Abstract
We define an ${\varepsilon}$-regular function in dual quaternions. From the properties of ${\varepsilon}$-regular functions, we represent the Taylor series of ${\varepsilon}$-regular functions with values in dual quaternions.
Keywords
regular functions; Clifford analysis; dual quaternion; Taylor series;
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